Orthogonal frequency division multiplexing (OFDM) chirp waveform has attracted much attention for its excellent characteristics such as large time-bandwidth product, high Doppler tolerance, low range-Doppler coupling and high degree of freedom in waveform design. To suppress clutter more effectively from the transmitter of radar system, a method of designing the OFDM chirp waveform based on the maximum output signal-to-clutter-plus-noise ratio (SCNR) is proposed in this paper. First, the relationship between the optimal energy spectral density (ESD) corresponding to the maximum SCNR and the waveform parameters of OFDM chirp is analyzed. Then, the OFDM chirp waveform design with sub-bandwidths diversity is presented. Last, the designed waveform is analyzed and validated by numerical results. The simulation results demonstrate that the designed waveform has an output SCNR and ESD close to the optimal values so as to suppress clutter in frequency domain.